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Finding the Fourth Proportional to 2,812.23, 4,218.34 and 732.23

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Solution

The fourth proportional to 2,812.23, 4,218.34 and 732.23 is: 1,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.23 : 4,218.34 = 732.23 : x
  2. Step 2: Convert to fraction form
    2,812.23/4,218.34 = 732.23/x
  3. Step 3: Cross multiply
    2,812.23x = 4,218.34 × 732.23
  4. Step 4: Simplify right side
    2,812.23x = 3,088,778.93
  5. Step 5: Solve for x
    x = 3,088,778.93/2,812.23
  6. Step 6: Final answer
    x = 1,098.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.